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Finding the Fourth Proportional to 20,902.97, 31,357.40 and 6,113

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Solution

The fourth proportional to 20,902.97, 31,357.40 and 6,113 is: 9,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.97 : 31,357.40 = 6,113 : x
  2. Step 2: Convert to fraction form
    20,902.97/31,357.40 = 6,113/x
  3. Step 3: Cross multiply
    20,902.97x = 31,357.40 × 6,113
  4. Step 4: Simplify right side
    20,902.97x = 191,687,786.20
  5. Step 5: Solve for x
    x = 191,687,786.20/20,902.97
  6. Step 6: Final answer
    x = 9,170.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.